48359959200 has 1152 divisors, whose sum is σ = 212611392000. Its totient is φ = 10373529600.

The previous prime is 48359959199. The next prime is 48359959253. The reversal of 48359959200 is 295995384.

It is a happy number.

48359959200 is a `hidden beast` number, since 48 + 3 + 5 + 9 + 9 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179776666 + ... + 179776934.

It is an arithmetic number, because the mean of its divisors is an integer number (184558500).

Almost surely, 2^48359959200 is an apocalyptic number.

48359959200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48359959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106305696000).

48359959200 is an abundant number, since it is smaller than the sum of its proper divisors (164251432800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48359959200 is a wasteful number, since it uses less digits than its factorization.

48359959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 48359959200 in words is "forty-eight billion, three hundred fifty-nine million, nine hundred fifty-nine thousand, two hundred".